Swedish Automobiles Are the Best (SAAB) sells two types of vehicles: a truck and a car. The monthly inverse demand or price equation for trucks is estimated as P = 65 -0.05Q (where Qt is the number of trucks sold and Pt is the price per truck in thousands). For cars is: Pe = 55 - 0.1Qc. It costs SAAB $27 (thousand) to produce each additional truck and $21 (thousand) to produce each additional car, so MC₁ = 27 and MC = 21. Assume no fixed cost so TC = MC × Q. X Suppose now that SAAB's production capacity is limited to 400 vehicles per month. Determine the profit-maximizing quantities of trucks (Q) and cars (Qc) and the total profit for each vehicle type with the new optimal quantities caused by the constraint.

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Swedish Automobiles Are the Best (SAAB) sells two types of vehicles: a truck and a car. The
monthly inverse demand or price equation for trucks is estimated as P₁ = 65 -0.05Q, (where Q, is
the number of trucks sold and Pt is the price per truck in thousands). For cars is: Pc = 55 -0.1Qc.
It costs SAAB $27 (thousand) to produce each additional truck and $21 (thousand) to produce
each additional car, so MC₁ = 27 and MC = 21. Assume no fixed cost so TC = MC x Q.
Suppose now that SAAB's production capacity is limited to 400 vehicles per month. Determine
the profit-maximizing quantities of trucks (Q) and cars (Qc) and the total profit for each
vehicle type with the new optimal quantities caused by the constraint.
Transcribed Image Text:Swedish Automobiles Are the Best (SAAB) sells two types of vehicles: a truck and a car. The monthly inverse demand or price equation for trucks is estimated as P₁ = 65 -0.05Q, (where Q, is the number of trucks sold and Pt is the price per truck in thousands). For cars is: Pc = 55 -0.1Qc. It costs SAAB $27 (thousand) to produce each additional truck and $21 (thousand) to produce each additional car, so MC₁ = 27 and MC = 21. Assume no fixed cost so TC = MC x Q. Suppose now that SAAB's production capacity is limited to 400 vehicles per month. Determine the profit-maximizing quantities of trucks (Q) and cars (Qc) and the total profit for each vehicle type with the new optimal quantities caused by the constraint.
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